Considering \(X^*(3860)\)  as the \(\chi _{c0}(2P)\)  state we study its strong decays into \(DD\)  in the LP and SP models.
Our results are listed in Table REF . Both models give a similar value of \(\Gamma \simeq 22\sim 28\)  MeV, which is rather narrow. Our results are consistent with that from Ref. [1]}. Note that the present experimental width is not well determined. In contrast, results from different theoretical calculations are still controversial. For instance, the recent analysis of Ref. [2]} found a small width about 11 MeV for the \(\chi _{c0}(2P)\)  state [2]}, while the analysis of Ref. [4]} in a \(^3P_0\)  model obtained a large width of \(110\sim 180\)  MeV. This suggests that further precise measurement of the \(X^*(3860)\)  and more theoretical studies of the \(\chi _{c0}(2P)\)  state are necessary. We mention that tetraquark interpretations were also proposed for the nature of
\(X^*(3860)\)  in the literature [5]}, [6]}.
